Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄×C₁₅

Direct product G=N×Q with N=C₂² and Q=D₄×C₁₅

		d	ρ	Label	ID
D₄×C₂×C₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=C₂² and Q=D₄×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(D₄×C₁₅) = C₅×D₄×A₄	φ: D₄×C₁₅/C₅×D₄ → C₃ ⊆ Aut C₂²	60	6	C2^2:(D4xC15)	480,1127
C₂²⋊₂(D₄×C₁₅) = C₁₅×C₄⋊D₄	φ: D₄×C₁₅/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:2(D4xC15)	480,926
C₂²⋊₃(D₄×C₁₅) = C₁₅×C₂²≀C₂	φ: D₄×C₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₂²	120		C2^2:3(D4xC15)	480,925

Non-split extensions G=N.Q with N=C₂² and Q=D₄×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄×C₁₅) = C₁₅×C₄○D₈	φ: D₄×C₁₅/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.1(D4xC15)	480,940
C₂².₂(D₄×C₁₅) = C₁₅×C₂³⋊C₄	φ: D₄×C₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.2(D4xC15)	480,202
C₂².₃(D₄×C₁₅) = C₁₅×C₄≀C₂	φ: D₄×C₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₂²	120	2	C2^2.3(D4xC15)	480,207
C₂².₄(D₄×C₁₅) = C₁₅×C₂².D₄	φ: D₄×C₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₂²	240		C2^2.4(D4xC15)	480,928
C₂².₅(D₄×C₁₅) = C₁₅×C₈⋊C₂²	φ: D₄×C₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.5(D4xC15)	480,941
C₂².₆(D₄×C₁₅) = C₁₅×C₈.C₂²	φ: D₄×C₁₅/C₂×C₃₀ → C₂ ⊆ Aut C₂²	240	4	C2^2.6(D4xC15)	480,942
C₂².₇(D₄×C₁₅) = C₁₅×C₂.C₄²	central extension (φ=1)	480		C2^2.7(D4xC15)	480,198
C₂².₈(D₄×C₁₅) = C₁₅×D₄⋊C₄	central extension (φ=1)	240		C2^2.8(D4xC15)	480,205
C₂².₉(D₄×C₁₅) = C₁₅×Q₈⋊C₄	central extension (φ=1)	480		C2^2.9(D4xC15)	480,206
C₂².₁₀(D₄×C₁₅) = C₁₅×C₄.Q₈	central extension (φ=1)	480		C2^2.10(D4xC15)	480,209
C₂².₁₁(D₄×C₁₅) = C₁₅×C₂.D₈	central extension (φ=1)	480		C2^2.11(D4xC15)	480,210
C₂².₁₂(D₄×C₁₅) = C₂²⋊C₄×C₃₀	central extension (φ=1)	240		C2^2.12(D4xC15)	480,920
C₂².₁₃(D₄×C₁₅) = C₄⋊C₄×C₃₀	central extension (φ=1)	480		C2^2.13(D4xC15)	480,921
C₂².₁₄(D₄×C₁₅) = D₈×C₃₀	central extension (φ=1)	240		C2^2.14(D4xC15)	480,937
C₂².₁₅(D₄×C₁₅) = SD₁₆×C₃₀	central extension (φ=1)	240		C2^2.15(D4xC15)	480,938
C₂².₁₆(D₄×C₁₅) = Q₁₆×C₃₀	central extension (φ=1)	480		C2^2.16(D4xC15)	480,939

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